Modeling of Quantum Ballistic Transport in Electron Waveguide Devices

Abstract

A quantum model for electron transport in split-gate devices is solved. The model consists in a quasi 3-dimensional Schrödinger system for electron motion coupled to a three dimensional Poisson equation accounting for space charge effects. The coupled system is discretized thanks to finite element method and the coupling between the Poisson solver and the Schrödinger solver is treated implicitly. We present numerical results in a stub configuration at zero applied bias. The numerical results exhibit tunneling effect which cannot be obtained with Thomas-Fermi simulation.